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116929802500 = 2254729772
BaseRepresentation
bin110110011100110001…
…1110011000100000100
3102011211001001102021221
41230321203303010010
53403433012140000
6125414455250124
711306425631200
oct1547143630404
9364731042257
10116929802500
1145653909315
121a7b3679944
13b0460c5464
1459336a9b00
15309569761a
hex1b398f3104

116929802500 has 135 divisors (see below), whose sum is σ = 297754135833. Its totient is φ = 40049184000.

The previous prime is 116929802471. The next prime is 116929802501. The reversal of 116929802500 is 5208929611.

The square root of 116929802500 is 341950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 30954179844 + 85975622656 = 175938^2 + 293216^2 .

It is not an unprimeable number, because it can be changed into a prime (116929802501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 119682012 + ... + 119682988.

Almost surely, 2116929802500 is an apocalyptic number.

116929802500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116929802500 is the 341950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116929802500

116929802500 is an abundant number, since it is smaller than the sum of its proper divisors (180824333333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116929802500 is an frugal number, since it uses more digits than its factorization.

116929802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 116929802500 in words is "one hundred sixteen billion, nine hundred twenty-nine million, eight hundred two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 625 700 875 977 980 1225 1250 1750 1954 2450 2500 3500 3908 4375 4885 4900 6125 6839 8750 9770 12250 13678 17500 19540 24425 24500 27356 30625 34195 47873 48850 61250 68390 95746 97700 122125 122500 136780 170975 191492 239365 244250 341950 478730 488500 610625 683900 854875 954529 957460 1196825 1221250 1709750 1909058 2393650 2442500 3419500 3818116 4274375 4772645 4787300 5984125 6681703 8548750 9545290 11968250 13363406 17097500 19090580 23863225 23936500 26726812 29920625 33408515 46771921 47726450 59841250 66817030 93543842 95452900 119316125 119682500 133634060 167042575 187087684 233859605 238632250 334085150 467719210 477264500 596580625 668170300 835212875 935438420 1169298025 1193161250 1670425750 2338596050 2386322500 3340851500 4176064375 4677192100 5846490125 8352128750 11692980250 16704257500 23385960500 29232450625 58464901250 116929802500